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Finding the Fourth Proportional to 166,220, 229,400.20 and 99,152

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Solution

The fourth proportional to 166,220, 229,400.20 and 99,152 is: 136,839.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,220 : 229,400.20 = 99,152 : x
  2. Step 2: Convert to fraction form
    166,220/229,400.20 = 99,152/x
  3. Step 3: Cross multiply
    166,220x = 229,400.20 × 99,152
  4. Step 4: Simplify right side
    166,220x = 22,745,488,630.40
  5. Step 5: Solve for x
    x = 22,745,488,630.40/166,220
  6. Step 6: Final answer
    x = 136,839.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.